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Exploration Ideas

All Algebra (11) Functions & Equations (26) Geometry & Trigonometry (71) Statistics & Probability (41) Calculus (20) Mathematical Modeling (5) Applied Mathematics (1) Graph Theory (9) 184 ideas
Bezier Curves and Design/Typography
Bezier Curves and Design/Typography

The letters on this screen are built from a handful of curves …

Computer Graphics Parametric Equations +2
Why Does the Piston Pause at the Top?
Why Does the Piston Pause at the Top?

As a wheel rotates at constant speed, a connected piston moves back …

Forces Applied Engineering +2
Point Nemo
Point Nemo

Point Nemo is the point in the ocean furthest from any land. …

Optimization Geography +2
Do Left-Handers Die Younger?
Do Left-Handers Die Younger?

A famous 1991 study reported that left-handed people die younger than right-handed …

Hypothesis Testing Critical Thinking +2
Flying by Vectors: The 3D Geometry of a Flight Path
Flying by Vectors: The 3D Geometry of a …

Turn two airport coordinates into 3D vectors from the centre of the …

Aviation Great Circle Routes +2
Line Judge vs Replay: How Good Is the Human Eye?
Line Judge vs Replay: How Good Is the …

Slow-motion replay clips show many close line calls are wrong. Collect clips …

Probability Statistics +2
VAR
VAR

VAR offside lines look pixel-precise on screen. Model the real margin of …

Decision Making Sports +2
Tunnel Segments
Tunnel Segments

Crossrail tunnel segments stockpiled in preparation for digging

Geometry Circular Segments +2
Horse Riding
Horse Riding

Model the geometry of a horse's circular exercise track (or any circular …

Optimization Geometry +2
Lénart Spheres
Lénart Spheres

What is the shortest distance between two points on a sphere?

Education Non-Euclidean Geometry +2
Why Cracks and Cells Meet at 120 Degrees
Why Cracks and Cells Meet at 120 Degrees

Dried mud, cooling basalt columns and a giraffe's coat pattern all split …

Geometry Patterns +2
Time Value of Money (TVM) and Annuities
Time Value of Money (TVM) and Annuities

Work out what a lump sum needs to be to buy a …

Financial Mathematics Annuities +2
Brachistochrone and Tautochrone curves
Brachistochrone and Tautochrone curves

Which ramp shape gets a skier to the bottom fastest? Use a …

Optimization Physics +2
Length of a Curve
Length of a Curve

Any curve, research the rule and show you understand it.

Geometry Arc Length +2
Modelling a Bridge Construction
Modelling a Bridge Construction

Model the changing shape of an arch bridge as it is built …

Bridge Engineering Catenary +2
Same Average, Different Spread: What Standard Deviation Hides
Same Average, Different Spread: What Standard Deviation Hides

Two housing markets can share the same average price and tell very …

Statistics Data Analysis +2
Using Excel and Benford’s Law to detect fraud
Using Excel and Benford’s Law to detect fraud

Learn the formulas, functions, and techniques that enable efficient Benford analysis of …

Benford's Law Data Science +2
Measuring inequality: what is the Gini coefficient?
Measuring inequality: what is the Gini coefficient?

The Gini coefficient is a standard way of measuring inequality. This explores …

Statistics Economics +2
Are electric cars better for the environment than fuel-powered cars?
Are electric cars better for the environment than …

"Whether you drive an electric car or are considering making the switch, …

Statistics Data Analysis +2
Are planes crashing more often?
Are planes crashing more often?

After a series of high-profile disasters, some social media users suggested that …

Probability Aviation Safety +2
Do Richer Countries Win More Olympic Medals?
Do Richer Countries Win More Olympic Medals?

Test whether a country's GDP predicts its Olympic medal count, using real …

Statistics Data Analysis +2
The Birthday Paradox
The Birthday Paradox

A classic, make it your own.

Combinatorics Statistics +2
How Many Packs to Finish the Sticker Album?
How Many Packs to Finish the Sticker Album?

Sticker albums, trading card packs and cereal box toys all mean repeatedly …

Probability Statistics +2
Why Your Positive Test Is Probably Wrong
Why Your Positive Test Is Probably Wrong

A positive result on a screening test sounds alarming, but with a …

Statistics Bayes Theorem +2